20. Find an equation for the plane parallel to 3x − 3y + 2x = 5 and through the point (4, 3, 5). 21. Find an equation for the plane orthogonal to the line x(t) = (2 + t, 3 − 2t, 1 − t) and through (1, 0, −3).

20. I suppose you meant to write ? This plane has normal vector (3, -3, 2), so the equation of the plane parallel to this one that goes through (4, 3, 5) is

21. The tangent to is parallel to the normal vector to the plane, so we can simply use it as the normal vector. This tangent vector is

Then the plane has equation

hiking down a winding trail.

step-by-step explanation: